Yesterday consuela bought some fudge and caramels for $6. she bought 2 pieces of fudge at 50 cents a piece and some caramels at 25 cents each. she gave some caramels to her friend carrie. now she has 2 pieces of fudge and 10 caramels. if consuela did not eat any candy yet, how many caramels did carrie receive?

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: